> That would be neat. Of course, the real work there would be getting
> the residue() function working better, so that you could actually
> compute such integrals.  But this is a GSoC idea onto itself.

Yes, sure. There was no focus on "residue", just on defining paths.
And this is the only point where these two projects meet.

> Manifolds in general have to be parameterized in patches (any
> manifold that is not diffeomorphic to R^n will by definition require
> more than one patch of differential parametrization to describe). The
> diffgeom module should take care of this sort of stuff, though.

Sure. And this makes the border towards diffgeo unclear.
For simple cases the method with one patch still works.

Maybe these integration functions should work with the objects
from the diffgeo module to specify hypervolumes ((closed) orientable
manifolds) for the complicated cases.

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